Algebraic Fractions ~ Functions ~ Exponentials and Logarithms ~ Numerical Methods ~ Differentiation ~ Trigonometry ~ Proof

Algebraic Fractions

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Simplifing and
solving algebraic fractions


Long division of algebraic
fractions



Functions

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Finding the range of a
given function


Composite functions


Finding the domain and
inverse of a given function


Modulus function


Transformation of functions



Exponentials and Logarithms

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Exponential function and
natural logarithm



Numerical Methods

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Showing a root lies
in a certain boundary


Using an iterative
formula



Differentiation

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Differentiating exponenetial
and logarithmic functions


Finding tangents and normals
to exponential/logarithmic
functions


Using the chain rule


Using and applying the chain
rule


Using the product rule


Using the quotient rule


Using and applying the
product and quotient rule


Differentiating trigonometric
functions



Trigonometry

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Working with using and solving
the reciprocals of trigonometric
functions


Working with and using and solving
the inverse of trigonometric functions


Using trigonometric identities to
solve equations involving the reciprocals


Using and applying the addition formulae
and double angle formulae to solve/prove
equations/identities


Further trigonometry



Proof

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Proof by counter example/contradiction